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<?xml version="1.0" encoding="utf-8" ?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN"
"JATS-publishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.2" article-type="other">
<front>
<journal-meta>
<journal-id></journal-id>
<journal-title-group>
<journal-title>Journal of Open Source Software</journal-title>
<abbrev-journal-title>JOSS</abbrev-journal-title>
</journal-title-group>
<issn publication-format="electronic">2475-9066</issn>
<publisher>
<publisher-name>Open Journals</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">5855</article-id>
<article-id pub-id-type="doi">10.21105/joss.05855</article-id>
<title-group>
<article-title>Tethys: A Spatiotemporal Downscaling Model for Global
Water Demand</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9594-0043</contrib-id>
<name>
<surname>Thompson</surname>
<given-names>Isaac</given-names>
</name>
<xref ref-type="aff" rid="aff-1"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes" corresp="yes">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3406-6214</contrib-id>
<name>
<surname>Vernon</surname>
<given-names>Chris R.</given-names>
</name>
<xref ref-type="aff" rid="aff-2"/>
<xref ref-type="corresp" rid="cor-1"><sup>*</sup></xref>
</contrib>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8147-8553</contrib-id>
<name>
<surname>Khan</surname>
<given-names>Zarrar</given-names>
</name>
<xref ref-type="aff" rid="aff-1"/>
</contrib>
<aff id="aff-1">
<institution-wrap>
<institution>Joint Global Change Research Institute, Pacific Northwest
National Laboratory, College Park, MD., USA</institution>
</institution-wrap>
</aff>
<aff id="aff-2">
<institution-wrap>
<institution>Pacific Northwest National Laboratory, Richland, WA.,
USA</institution>
</institution-wrap>
</aff>
</contrib-group>
<author-notes>
<corresp id="cor-1">* E-mail: <email></email></corresp>
</author-notes>
<pub-date date-type="pub" publication-format="electronic" iso-8601-date="2023-05-16">
<day>16</day>
<month>5</month>
<year>2023</year>
</pub-date>
<volume>9</volume>
<issue>97</issue>
<fpage>5855</fpage>
<permissions>
<copyright-statement>Authors of papers retain copyright and release the
work under a Creative Commons Attribution 4.0 International License (CC
BY 4.0)</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>The article authors</copyright-holder>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>Authors of papers retain copyright and release the work under
a Creative Commons Attribution 4.0 International License (CC BY
4.0)</license-p>
</license>
</permissions>
<kwd-group kwd-group-type="author">
<kwd>Python</kwd>
<kwd>water demand</kwd>
<kwd>downscaling</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="summary">
<title>Summary</title>
<p>Humans use water for many important tasks, such as drinking,
growing food, and cooling power plants. Since future water demands
depend on complex global interactions between economic sectors (e.g.,
demand for wheat in one country causing demand for water to grow that
wheat in another country), it is often modeled at coarse spatial and
temporal scales as part of models that account for complex,
multi-sector system dynamics. However, models that project future
water availability typically simulate physical processes at much finer
scales. <monospace>Tethys</monospace> enables integration between
these kinds of models by downscaling region-scale water demand
projections using sector-specific proxies and formulas.</p>
</sec>
<sec id="statement-of-need">
<title>Statement of Need</title>
<p>Global hydrological models often require gridded water demand data
to represent the location and timing of flows for human consumption,
but historical inventories of water use are often only available per
country at annual or larger intervals
(<xref alt="Huang et al., 2018" rid="ref-hess-22-2117-2018" ref-type="bibr">Huang
et al., 2018</xref>). In order to model future global economic
linkages in detail, multi-sector models (e.g., the Global Change
Analysis Model
(<xref alt="Binsted et al., 2022" rid="ref-gmd-15-2533-2022" ref-type="bibr">Binsted
et al., 2022</xref>;
<xref alt="Calvin et al., 2019" rid="ref-gmd-12-677-2019" ref-type="bibr">Calvin
et al., 2019</xref>)) also operate at these coarser spatial and
temporal scales. This gap in scale makes downscaling water demands a
common need.</p>
<p>The distribution of water demands depends on the location and
timing of activities that use water, so the usual approach is to use
relevant gridded datasets as spatial proxies for each water demand
sector (e.g., assume that irrigation water demand is proportional to
irrigated land area), then further allocate annual water demands among
months according to formulas that capture seasonal variations
(<xref alt="Voisin et al., 2013" rid="ref-hess-17-4555-2013" ref-type="bibr">Voisin
et al., 2013</xref>). This is typically accomplished with scripts
designed for specific model-integration workflows, but different
models and proxy datasets can have different breakdowns of water
demand sectors, limiting reuse of such scripts.</p>
<p>Building on previous versions
(<xref alt="Li et al., 2018" rid="ref-Li-2018" ref-type="bibr">Li et
al., 2018</xref>), <monospace>Tethys</monospace> now generalizes this
downscaling process to provide a convenient and flexible interface for
configuring proxy rules, as well as specifying target output
resolution, allowing researchers to easily generate finely gridded
water demand data that are consistent with coarser scale inventories
or simulations. <monospace>Tethys</monospace> has been used in
scientific publications such as Khan et al.
(<xref alt="2023" rid="ref-Khan2023" ref-type="bibr">2023</xref>),
which downscaled water demand from an ensemble of 75 socioeconomic and
climate scenarios.</p>
</sec>
<sec id="key-functionality">
<title>Key Functionality</title>
<p><monospace>Tethys</monospace> consists of 2 stages: spatial
downscaling (<xref alt="[fig:1]" rid="figU003A1">[fig:1]</xref>) and
(optionally) temporal downscaling. First, sectoral water demands by
region are disaggregated to water demand by grid cell in proportion to
appropriate spatial proxies, i.e.,</p>
<p><disp-formula><alternatives>
<tex-math><![CDATA[\text{demand}_\text{cell} = \text{demand}_\text{region} \times \frac{\text{proxy}_\text{cell}}{\text{proxy}_\text{region}}.]]></tex-math>
<mml:math display="block" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mtext mathvariant="normal">demand</mml:mtext><mml:mtext mathvariant="normal">cell</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext mathvariant="normal">demand</mml:mtext><mml:mtext mathvariant="normal">region</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mfrac><mml:msub><mml:mtext mathvariant="normal">proxy</mml:mtext><mml:mtext mathvariant="normal">cell</mml:mtext></mml:msub><mml:msub><mml:mtext mathvariant="normal">proxy</mml:mtext><mml:mtext mathvariant="normal">region</mml:mtext></mml:msub></mml:mfrac><mml:mi>.</mml:mi></mml:mrow></mml:math></alternatives></disp-formula></p>
<p>Then, temporal downscaling follows sector-specific formulas from
the literature, which determine the fraction of a year’s water demand
to allocate to each month based on relationships between monthly water
demand and other monthly variables. See the
<ext-link ext-link-type="uri" xlink:href="https://jgcri.github.io/tethys">documentation</ext-link>
for more details and example usage.</p>
<fig>
<caption><p>Before and after spatial downscaling.
<styled-content id="figU003A1"></styled-content></p></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="example.png" />
</fig>
</sec>
<sec id="acknowledgements">
<title>Acknowledgements</title>
<p>This research was supported by the U.S. Department of Energy,
Office of Science, as part of research in MultiSector Dynamics, Earth
and Environmental System Modeling Program. The Pacific Northwest
National Laboratory is operated for DOE by Battelle Memorial Institute
under contract DE-AC05-76RL01830. The views and opinions expressed in
this paper are those of the authors alone.</p>
</sec>
</body>
<back>
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